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Finding the Third Proportional to 233,664 and 350,103.75

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Solution

The third proportional to 233,664 and 350,103.75 is: 524,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,664 : 350,103.75 = 350,103.75 : x
  2. Step 2: Convert to fraction form
    233,664/350,103.75 = 350,103.75/x
  3. Step 3: Cross multiply
    233,664x = 350,103.75 × 350,103.75
  4. Step 4: Simplify right side
    233,664x = 122,572,635,764.06
  5. Step 5: Solve for x
    x = 122,572,635,764.06/233,664
  6. Step 6: Final answer
    x = 524,567.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.